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56473248 = 25313371223
BaseRepresentation
bin1101011101101…
…1011010100000
310221021010201210
43113123122200
5103424120443
65334230120
71254005016
oct327333240
9127233653
1056473248
1129972207
1216ab5340
13b913930
1477008b6
154e57c33
hex35db6a0

56473248 has 96 divisors (see below), whose sum is σ = 164094336. Its totient is φ = 16892928.

The previous prime is 56473223. The next prime is 56473253. The reversal of 56473248 is 84237465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45565 + ... + 46787.

It is an arithmetic number, because the mean of its divisors is an integer number (1709316).

Almost surely, 256473248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56473248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168).

56473248 is an abundant number, since it is smaller than the sum of its proper divisors (107621088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56473248 is a wasteful number, since it uses less digits than its factorization.

56473248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 56473248 is about 7514.8684619227. The cubic root of 56473248 is about 383.6609420318.

The spelling of 56473248 in words is "fifty-six million, four hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1223 1248 1443 1776 1924 2446 2886 3552 3669 3848 4892 5772 7338 7696 9784 11544 14676 15392 15899 19568 23088 29352 31798 39136 45251 46176 47697 58704 63596 90502 95394 117408 127192 135753 181004 190788 254384 271506 362008 381576 508768 543012 588263 724016 763152 1086024 1176526 1448032 1526304 1764789 2172048 2353052 3529578 4344096 4706104 7059156 9412208 14118312 18824416 28236624 56473248